Amir Hossein

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1,315 reputation

328

bio	website	math-olympiad.blogsky.com
	location	Arak, Iran
	age	18
visits	member for	2 years, 3 months
	seen	Jul 2 '12 at 6:16
stats	profile views	636

High school student.

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42 Questions

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28	All polynomials with no natural roots and integer coefficients such that $\phi(n)\|\phi(P(n))$
20	I'm not sure about this inequality (how to prove or disprove it?)
14	$x,y$ are integers satisfying $2x^2-1=y^{15}$, show that $5 \mid x$
14	The easy(?) part of IMO 2011 Problem 3
14	Showing $\tan\frac{2\pi}{13}\tan\frac{5\pi}{13}\tan\frac{6\pi}{13}=\sqrt{65+18\sqrt{13}}$

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1,315 Reputation

+10	Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
+15	All polynomials with no natural roots and integer coefficients such that $\phi(n)\|\phi(P(n))$
+10	Difference between “Show” and “Proof”
+5	Challenging inequality: $abcde=1$, show that $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}+\frac{1}{e}+\frac{33}{2(a+b+c+d+e)}\ge{\frac{{83}}{10}}$

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3 Answers

votes activity newest

7	Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
2	Mathematical Font
1	Proving ${n \choose p} \equiv \Bigl[\frac{n}{p}\Bigr] \ (\text{mod} \ p)$

22 Tags

8 number-theory × 30	0 algebra-precalculus × 4
2 math-software	0 functional-equations × 4
0 diophantine-equations × 17	0 trigonometry × 3
0 elementary-number-theory × 13	0 inequality × 3
0 contest-math × 5	0 divisibility × 3

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Mathematics

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233 Votes Cast

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